TEAS Practice Test Math

Correct Answer: C

Rationale: The correct answer is C because a composite number is a number that has more than 2 factors. Factors are numbers that can divide the given number without leaving a remainder. Composite numbers are not prime numbers, which have exactly 2 factors - 1 and the number itself. For example, 6 is a composite number because it has factors 1, 2, 3, and 6. Choice A is incorrect because it describes a prime number, not a composite number. Choice B is incorrect as being a fraction doesn't determine if a number is composite. Choice D is incorrect because a number with exactly two factors is a prime number, not a composite number.

Correct Answer: B

Rationale: To calculate the total cost (T), we sum up the initial charge with the additional charges for circular and rectangular tablecloths. The correct expression is B: 5c + 3.5r + 40 = T. This is because we add the charges for circular and rectangular tablecloths to the initial charge of $40 to get the total cost. Choice A subtracts the initial charge instead of adding it. Choice C subtracts the initial charge and swaps the coefficients for circular and rectangular tablecloths. Choice D incorrectly adds the initial charge after the coefficients for circular and rectangular tablecloths.

Correct Answer: D

Rationale: To calculate the increased dosage, we first find 30% of 270 mg by multiplying 270 by 0.30, which equals 81 mg. Then, we add the increase to the current dosage: 270 mg + 81 mg = 351 mg. Therefore, the correct answer is D. Choice A (81 mg) is incorrect because that is only the increase, not the total dosage. Choice B (270 mg) is the current dosage, not the increased dosage. Choice C (300 mg) is also incorrect as it does not account for the 30% increase.

Correct Answer: C

Rationale: The correct answer is C: As elevation increases, temperature decreases. This is because of the negative correlation between elevation and temperature. As elevation increases (going higher above sea level), the temperature tends to decrease due to various factors like lower air pressure and thinner atmosphere. This relationship is observed in mountains where higher elevations have colder temperatures. Explanation of incorrect choices: A: As elevation decreases, temperature remains the same - Incorrect because the relationship is negative correlation, not no correlation. B: As elevation decreases, temperature decreases - Incorrect because the negative correlation implies that as elevation decreases, temperature would increase. D: As elevation increases, temperature increases - Incorrect because the negative correlation indicates that as elevation increases, temperature decreases.

Correct Answer: D

Rationale: The correct answer is D: 25 g. A pencil is a lightweight object typically weighing in grams, not kilograms, centimeters, or milligrams. The weight of 25 g aligns with the standard weight of a pencil. Kilograms (A) are too heavy, centimeters (B) are units of length, and milligrams (C) are too light for a pencil's weight. So, the most likely weight of a pencil is 25 grams.